Geometry

Which expression correctly identifies the volume of a rectangular prism that has sides of 3.0 mm, 2.5 cm, and 12.4 cm?
A. V=(30 cm)(2.5 cm)(12.4 cm)
B. V=(3.0 mm)(25 mm)(124 mm)
C. V=(3.0 mm)(2.5 cm)(12.4 cm)
D. V=(3.0 mm)(25 mm)(12.4 cm)

While driving on the highway, Carl sees a sign that reads, "Buffalo 450 km." Carl checks his speedometer and notes that he is traveling at 70 miles per hour. How long will it take Carl to reach Buffalo at this speed? Round to one decimal place.
A. 4.0 hours
B. 10.3 hours
C. 2.5 hours
D. 6.4 hours

Mitch is tiling a bathroom shower that is 10 feet tall and comes in sections of 3 feet, 6 feet, and 3 feet long. He is using subway tiles that are 4 inches tall and 8 inches long. How many tiles will Mitch need to completely tile the shower if he does not rotate them? Round to the nearest whole number.
A. 2,066 tiles
B. 960 tiles
C. 4 tiles
D. 551 tiles

A box measures 9 inches by 9 inches by 12 inches. Estimate the volume of the box, and then find the actual volume. Use your estimation to determine if the answer is reasonable.
A. A good estimate is 900 cubic inches. The actual volume is 972 cubic inches. Since the actual volume is close to the estimate, the answer is reasonable.
B. A good estimate is 1,000 cubic inches. The actual volume is 972 cubic inches. Since the actual volume is close to the estimate, the answer is reasonable.
C. A good estimate is 900 cubic inches. The actual volume is 216 cubic inches. Since the actual volume is not close to the estimate, the answer is not reasonable.
D. A good estimate is 1,000 cubic inches. The actual volume is 216 cubic inches. Since the actual volume is not close to the estimate, the answer is not reasonable.

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  1. #1. recall that volume = length * width * height
    #2. time = distance/speed -- watch the units (km vs miles)
    #3. I assume he is tiling the walls, since no mention is made of the floor width.
    8 in = 2/3 ft, so align the 8" sides with the lengths. Thus, the length is
    (3+6+2) / (2/3) = 18 tiles long
    and the room is 10ft/4in = 30 tiles high
    So it will take 540 tiles

    #4. 9x9x12 ≈ 10x10x12 = 1200
    or, more roughly, 10x10x10 = 1000

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    oobleck

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